Kavli Affiliate: Michael Wimmer
| First 5 Authors: William Samuelson, William Samuelson, , ,
| Summary:
Protecting qubits from perturbations is a central challenge in quantum
computing. Topological superconductors with separated Majorana bound states
(MBSs) provide a strong form of protection that only depends on the locality of
perturbations. While the link between MBS separation, robust degeneracy, and
protected braiding is well understood in non-interacting systems, recent
experimental progress in short quantum-dot-based Kitaev chains highlights the
need to establish these connections rigorously for interacting systems. We do
this by defining MBSs from many-body ground states and show how their locality
constrains their coupling to an environment. This, in turn, quantifies the
protection of the energy degeneracy and the feasibility of non-abelian
braiding.
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